Evaluation of the Efficacy of Wolbachia Intervention on Dengue Burden in a Population: A Mathematical Insight

This paper discusses the development and analysis of a nonlinear mathematical model to describe the transmission dynamics and control of dengue disease within the interacting human and mosquito populations. The model, which is governed by a twelve-dimensional system of ordinary differential equations, captures the subpopulation of symptomatic infected human with severe dengue symptoms and Wolbachia-infected mosquito population. The dengue-free equilibrium of the model is obtained, and shown to be globally asymptotically stable with respect to the key dengue threshold, denoted by${\mathcal{R}_0}$. Numerical simulations are carried out to investigate the effects of Wolbachia coverage and fraction of symptomatic infectious humans that will get dengue severe symptoms on the dynamical spread of dengue in the community. The impacts of various Wolbachia coverage levels on the disease spread are quantified by carrying out the efficiency analysis.